Question: A rectangle ABCD is inscribed inside a quadratic graph as shown in the diagram. The equation of the quadratic graph is y = 16 -

A rectangle ABCD is inscribed inside a quadratic graph as shown in the diagram. The equation of the quadratic graph is y = 16 - -x. Show that the area, A, of the rectangle is A = 2x 16--x- Find the value of x for which the rectangle has a maximum area. Hence find the maximum area of the rectangle. Show that -10-81-6 4 -2 + 2 4 6+8 10 the area is a maximum

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